Finding the Third Proportional to 1,414.83 and 3,109.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.83 : 3,109.78 = 3,109.78 : x
2. Step 2: Convert to fraction form
   1,414.83/3,109.78 = 3,109.78/x
3. Step 3: Cross multiply
   1,414.83x = 3,109.78 × 3,109.78
4. Step 4: Simplify right side
   1,414.83x = 9,670,739.42
5. Step 5: Solve for x
   x = 9,670,739.42/1,414.83
6. Step 6: Final answer
   x = 6,835.28